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Finding the Third Proportional to 1,041.61 and 1,583.93

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Solution

The third proportional to 1,041.61 and 1,583.93 is: 2,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.61 : 1,583.93 = 1,583.93 : x
  2. Step 2: Convert to fraction form
    1,041.61/1,583.93 = 1,583.93/x
  3. Step 3: Cross multiply
    1,041.61x = 1,583.93 × 1,583.93
  4. Step 4: Simplify right side
    1,041.61x = 2,508,833.25
  5. Step 5: Solve for x
    x = 2,508,833.25/1,041.61
  6. Step 6: Final answer
    x = 2,408.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.